An international company has 26,700 employees in one country. If this represents 34.2% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.​

The function type of the table is linear function

From the question, we have the following parameters that can be used in our computation:

X 0 1 2 3 4 5

Y 2 5 8 11 14 17

From the above table, we can see that:

The constant increment means that the function type is a linear function

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The plasma television is selling for $425 after the 15% discount.

What is the Selling price and cost price?

The selling price of a product is the price at which it is sold to the customer. It is the price that the customer pays for the product, and it includes any taxes or additional charges.

The cost price, also known as the wholesale price or the wholesale cost, is the price at which the manufacturer or supplier sells the product to the retailer or the distributor. It is the price that the retailer or distributor pays to acquire the product, and it does not include any taxes or additional charges.

If an item is marked 15% off, that means that you will pay 85% of the original price. To calculate the selling price of the plasma television, you can use the following formula:

Selling price = Original price x (100 - discount%) / 100

In this case, the original price of the television is $500 and the discount is 15%, so the selling price is:

Selling price = $500 x (100 - 15) / 100 = $500 x 0.85 = $425

Hence, the plasma television is selling for $425 after the 15% discount.

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Answer:

C) There is no solution

Step-by-step explanation:

2x + 3y = -60

2x + 3y = 120

There is no number that I can substitute for 2x and 3y and get two different answers (60 and 120)

2x + 3y = -60

2x + 3y = 120 ⇒ multiply all the way through by -1 ⇒ -2x -3y = -120

Now add the two equations together

2x + 3y = -60

-2x -3y = -120

        0 = -180  This is a false statement so there is no solution.

Answer:

9

Step-by-step explanation:

9 is the smallest number that 3 and 9 can both go into.

The amount of the down payment is $91300 if the bank is offering the down payment percent 20%.

What is percentage ?

percentage can be defined as the product of given value , total value and hundred .

Given,

Mary Cunningham offered $456,500 for a home that had been

priced at $569,500.

A bank is willing to finance the purchase if she can make a down payment of 20%.

So,

the offered amount is $456,500

and the down payment percentage is 20%

let the amount of the down payment is x .

so the amount of the down payment is

x = (20 / 100 ) * 456500

x = 91300

Hence   the amount of the down payment is $91300.

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Answer:

C is your answer

correct if I'm wrong

Step-by-step explanation:

Equation of the horizontal line is given by y = k, where k is any value on the y-axis.

An example to support Fabian statement is that 25% of 100 is more than 10% of 100.

An example to negate Fabian statement is that 25% of -100 is less than 10% of -100.

A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100

An example to support Fabian statement is that 25% of 100 is more than 10% of 100. In this case, 25 it more than 10.

An example to negate Fabian statement is that 25% of -100 is less than 10% of -100. In this case, -25 is less than -10.

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The total number of workers in that company is 3,400 workers.

To calculate the total number of workers in this company we must take into account what is the percentage of workers and the number of workers that we know:

25% = 850 workers (not women).

In accordance with the above information, we can state that we know a quarter of all the workers, that is, if a quarter of the workers equals 850 workers, 100% of the workers equals 850 * 4 as shown then:

850 * 4 = 3,400

So, the total number of workers would be 3,400, of which 850 are men and 2,550 are women.

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your slope is right on the money, now the y-intercept is where the y-axis gets intercepted or namely gets crossed, Check the picture below.

Answer:

x = 4

Step-by-step explanation:

Knowledge Needed

If you add, subtract, multiply, or divide the same number/variable on both sides of the equation, the end result will be the same.

To solve for a variable, we must first isolate it, meaning it is on its own side of the equation separate from integers and other constants.

The Question

8x + 4 = 27 + 6x - 15

Subtract 4 on both sides.

8x + 4 - 4 = 27 + 6x - 15 - 4

Combine like terms.

8x = 8 + 6x

Subtract 6x on both sides.

8x - 6x = 8 + 6x - 6x

Combine like terms.

2x = 8

Divide 2 on both sides.

[tex]\frac{2x}{2} = \frac{8}{2}[/tex]

Simplify.

x = 4

Answer:

  23. (1, 4)

  24. (1, 4)

  25. graphing calculator

Step-by-step explanation:

You want to solve this system of equations by graphing and by substitution.

The graph of the system of equations is attached. The solution is ...

  (x, y) = (1, 4)

Using the second equation, we can write an expression for y:

  y = 2x +2

Substituting that into the first equation gives ...

  x + (2x +2) = 5

  3x = 3 . . . . . . . . subtract 2

  x = 1

Then ...

  y = 2(1) +2 = 4

The solution is (x, y) = (1, 4).

We like the graphing calculator solution, as it gives the answer as quickly as we can type the equations.

If we were constrained to drawing the graph by hand, we would prefer the substitution solution.

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The value of the tangent JK in the cyclic quadrilateral is 14.25

A cyclic quadrilateral is a four-sided polygon for which the opposite angles are supplementary, meaning that the sum of the angles is equal to 180 degrees. Additionally, a cyclic quadrilateral can also be defined as a quadrilateral that can be inscribed in a circle, meaning that all four vertices of the quadrilateral lie on the circumference of the same circle.

To find the value of x, we can use Pythagoras theorem.

c² = a² + b²

18² = 11² + x²

x² = 18² - 11²

x² = 203

x = √203

x = 14.25

The value of x in the tangent JK is 14.25

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The actual distance between two towns 15cm apart on the map is 6km.

Distance, a scalar quantity, measures the amount of space an object has travelled through while in motion. The distance when represented on a graph are usually scaled to a value that can be easily represented, rather than actual distance.

When using the cross-multiplication approach, the denominator of the first term is multiplied by the numerator of the second term, and vice versa. Cross-multiplication method can be used to solve linear equations containing two variables.

Given that:

2.5cm = 1km

15cm = x km

Using cross multiplication, we have:

[tex]x= \frac{(1)(15)}{2.5} \\\\x=6[/tex]

Hence, the actual distance between two towns 15cm apart on the map is 6km.

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A company can use 50 plots of lands for buildings.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Metropolis requires that for every 5 plots or land used for buildings.

2 plots of land must be left for green space.

A company bought 70 plots of land.

To find the number of green plots:

First, we find the number of green plots.

Applying division operation,

70 ÷ (5 + 2)

= 70 ÷ 7

= 10

Now, the number of green plots,

10 x 2 = 20 green plots.

Subtracting the number of green plots to total number of plots,

70 - 20

= 50 plots.

Therefore, 50 plots can be used for buildings.

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The graph that describes the relationship between the money raised and the number of students is A. graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 100 through the point 2 comma negative 80.

The decorations for the dance cost $ 100 which means that the students would start from a negative amount when raising money. This negative amount is - 100 which is the amount made when there are zero students.

When two students pay for attending, they will pay :
= 10 x 2 students

= $ 20

The amount of money raised would then be:

= - 100 + 20

= - 80

So at the point where there are 2 students. the amount raised is - $80 which is shown on the graph as ( 2, -80 ).

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The equation of the perpendicular line is y = -5x - 8

From the question, we have the following parameters that can be used in our computation:

y = 1/5x - 11

Also, from the question;

We have the following points

Point = (0, 8) i.e.  (x, y) = (0, 8)

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 1/5

This means that the slope is 1/5

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is -5

The equation of the line is then calculated as

y = m(x - x₁) +y₁

Where

m = -5

(x₁, y₁) = (0, -8)

So, we have

y = -5(x - 0) - 8

Evaluate

y = -5x - 8

Hence, the line has an equation of y = -5x - 8

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Answer:

7/18.

Step-by-step explanation:

Based on the given conditions, formulate: 1 - 1/6 - 4/9 Convert the expression into a fraction: 1/1.

The properties that are applied is A) Addition property of equality and division property of equality

Given equation 3 x -6 =12

Apply addition property of equality

Adding '6' on both sides , we get

                      3 x - 6 + 6 = 12 +6

                      3 x  = 18

Apply Division property of equality

Dividing '3' on both sides , we get

Applying division

3x / 3 = 18/3

on simplification , we get

                     x = 6

The solution of the given equation  is x =6

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The value of the division for 7 1/2 divided by 3/4 will be 10.

It is important to note that this questions relates from a fraction. A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.

In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

The value of the division will be:

= 7 1/2 ÷ 3/4

= 15/2 ÷ 3/4

= 15/2 × 4/3

= 60/6

= 10

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The formula that Steve can use to determine the height of the rectangular prism is given as follows:

Height = Volume/(length x width).

The formula for the volume of a rectangular prism is dependent on the height, thus it is used to solve for the height.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, as follows:

Volume = length x width x height.

To obtain the height, we must solve the above formula for the height, isolating the height, with the length and the width dividing on the other side, as they are inverse operations to the multiplication, as follows:

Height = Volume/(length x width).

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The solution to the quotient expression 35,370 ÷ 262 is 135

From the question, we have the following parameters that can be used in our computation:

The quotient. 35,370 ÷ 262

To start with, we need to represent the statement as an expression

So, we have the following representation

35370 ÷ 262 = 35370/262

Using a calculator, we have the following result

So, we have the following representation

35370 ÷ 262 = 135

Hence, the solution is 135

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The surface area of cylinder whose height is 10 feet and its base of radius is 4 feet  is 112π [tex]ft^{2}[/tex]

What is volume of cylinder ?

volume of cylinder is product of pi and square of radius and height of the cylinder.

Given,

height of cylinder = 10 feet

base of radius of cylinder = 4 feet.

Surface area of cylinder is

A=2πrh+2πr2

A = π (2rh+2r2)

A = π (2*4*10 + 2* 4*4)

A =π(80+32)

A = 112 π [tex]ft^{2}[/tex] .

Hence, the surface area of cylinder whose height is 10 feet and its base of radius is 4 feet  is 112π [tex]ft^{2}[/tex].

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After simplifying the following expression the power of a , c ,d e could be 20,2 , 2 , 6 .

What is expression ?

expression can be defined as with the minimum of two variables or numbers and at least one math operation.

Given expression,

([tex]a^{10}[/tex] [tex]b^{0}[/tex]cd[tex]e^{3}[/tex] ) power -2

so, we know that (a) power -1 could be 1/a .

similarly,

([tex]a^{10}[/tex] [tex]b^{0}[/tex]cd[tex]e^{3}[/tex] ) power -2  =  1  /  [tex]a^{20}[/tex] [tex]c^{2}[/tex][tex]d^{2}[/tex][tex]e^{6}[/tex]

Hence the values after simplifying the following expression, the power of a , c ,d e could be 20,2 , 2 , 6 .

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The simplified for of the expression is as follows:

6⁻¹ = 1 / 6

6⁻² = 1 / 36

6⁻³ = 1 / 216

6⁻⁴ == 1 / 1296

In mathematics, an expression is a combination of numbers, variables, operations such as addition, subtraction, multiplication or division etc.

Therefore, the law of exponential can be used to simplify the exponent form of the expression as follows;
Therefore,

a⁻¹ = 1 / a

Hence,

6⁻¹ = 1 / 6

6⁻² = 1 / 6² =  1 / 6 × 6 = 1 / 36

6⁻³ = 1 / 6³ =  1 / 6 × 6 × 6 = 1 / 216

6⁻⁴ = 1 / 6⁴ =  1 / 6 × 6 × 6 × 6 = 1 / 1296

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Answer:

melanie can do a job in 4 hours

so she can do 1/4 of the job in 1 hour

Kim does the same job in 6 hours

So he can do 1/6 job in 1 hour

Together they can do 1/4 + 1/6 of the job in 1 hour

1/4 + 1/6

= 3+2 / 12

= 5/12 job in one hour

so 1 job they will do together in 12/5 hours

= 2.4 hours

Answer:

For this, we work backward from the Pythagorean equation.

-b±√(b2-4ac)/(2a)

We have -4±√(11)

We can determine that b = 4 and 2a=1, so a = 1/2

Next, analyze the root to find c:

√(b2-4ac) = √11

(b2-4ac) = 11, but we know a and b

(42-4(1/2)c) = 11

(16 - 2c) = 11

-2c = -5

c = 5/2

So with a = 1/2, b = 4, and c = 5/2 we have our equation

(1/2)x2 + 4x + (5/2) = 0

Step-by-step explanation:

The value of t is the total time she took in her whole journey = 1 hour and 30 minutes.

The definition of time is the system of those sequential relations that any event has to any other, as past, present, or future.

Given that, Layla went for a 10 km run. She ran the first 5 km in 30 minutes, then rested for 25 minutes. She then ran the rest of the way in 35 minutes.

The value of t will be the total time she took in her whole journey,

Therefore,

She ran for 30 minutes, then she 25 minutes, and then she completed the rest of the journey in 35 minutes'

SO, the total time she took = 30+25+35 = 90 minutes

90 minutes = 60 minutes + 30 minutes

= 1 hours + 30 minutes

= 1.5 hours or 1 hour and 30 minutes.

Hence, total time she took is 1 hour and 30 minutes.

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Answer:

x = 35

Step-by-step explanation:

90 - 55 = 35

Answer:

-----------------------------

Current population is 370000 people.

Growth rate is 6.25%.

The population after 8 years will be:

A box-and-whisker plot which represent the given data set is shown in the image attached below.

The five-number summary for the given data set have been listed correctly below.

In Mathematics, a box-and-whisker plot is sometimes referred to as a box plot and it can be defined as a type of chart that is used for the graphical or visual representation of the five-number summary of a data set with respect to locality, skewness, and spread.

By using an online box-and-whisker plot calculator, the five-number summary for the given data set include the following:

By critically observing the box-and-whisker plots (see attachment), we can logically deduce that all of the five-number summary for the given data set are correctly listed.

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